I do not think you are overthinking it.
Children are very good at noticing who gets used as the example, who gets praised first and who adults turn to when they want something done “properly”.
I’d spread demonstrations around. Sometimes the coach can show it. Sometimes use two or three players. Sometimes ask the group to watch for one specific detail rather than judge the whole technique.
A demonstration does not need to be perfect to be useful. In fact, seeing a teammate try something and then improve it can be more valuable than watching the same advanced player execute it perfectly every week.
I would also avoid announcing “let’s get our best passer to show us”.
The aim is clarity, not ranking.
If one child is always the model, they can feel pressure too. Variety protects both the stronger player and the rest of the group from a hierarchy that nobody intended to create.